Article
Mathematics, Applied
Sibylle Schroll, Aran Tattar, Hipolito Treffinger, Yadira Valdivieso, Nicholas J. Williams
Summary: This paper discusses the stability space of modules and its relationship with the dual description in terms of non-negative linear spans. The paper also explores the connection between the stability spaces of thin modules and order polytopes. Additionally, it examines the relationship between the stability spaces of string and band modules and the stability spaces of the corresponding thin modules, as well as the limit of stability spaces of string modules for the stability space of a band module.
JOURNAL OF PURE AND APPLIED ALGEBRA
(2024)
Article
Mathematics, Applied
Oliver Gregory
Summary: We compute the algebraic K-theory of certain classes of surfaces over finite fields by calculating the motivic cohomology groups and studying the motivic Atiyah-Hirzebruch spectral sequence. In the appendix, we expand the scope of surfaces for which Parshin's conjecture is known to hold.
JOURNAL OF PURE AND APPLIED ALGEBRA
(2024)
Article
Mathematics, Applied
Charles Braga Amorim, Marcelo Fernandes de Almeida, Eder Mateus
Summary: This paper investigates the impact of energy dissipation on the global existence of solutions in the Boussinesq system. Specifically, it considers the case when the initial data belongs to scaling invariant function spaces. By introducing appropriate conditions, the paper demonstrates the existence of solutions.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
M. Anoussis, G. K. Eleftherakis, A. Katavolos
Summary: This article investigates the conditions for extending a continuous algebra homomorphism from the Fourier algebra of one locally compact group to the Fourier-Stieltjes algebra of another locally compact group. When the mapping is completely bounded and the original group is amenable, it can be induced by a piecewise affine map. The dual problem is also studied.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
Andrej Svetina
Summary: We provide several interpolation results for holomorphic Legendrian curves in an odd dimensional complex Euclidean space with the standard contact structure. Specifically, we demonstrate that an arbitrary countable set of points in C2n+1 can be located on an injectively immersed isotropic surface with a prescribed complex structure. If the set has no accumulation points, the surface can be properly embedded. We also prove a Carleman-type theorem for holomorphic Legendrian curves with interpolation, showing that a Legendrian curve defined on a certain type of unbounded closed set in a given open Riemann surface 7Z can be approximated in the C0-topology by an entire Legendrian curve with prescribed finite-order Taylor polynomials at a closed discrete set of points in 7Z. The approximating map can be made into a proper embedding under suitable conditions.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
Zhihui Zhao, Hong Li
Summary: In this paper, the space-time continuous Galerkin (STCG) method is used to analyze the nonlinear Sobolev equation. A detailed analysis is provided including the proof of the existence and uniqueness of the numerical solution and the a priori error estimate. The numerical experiments show that the STCG method is more efficient and stable than the space-time discontinuous Galerkin (STDG) method.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
Xinxin Cheng, Yi Wang, Gang Huang
Summary: This paper presents a novel modeling framework to investigate the impact of infection age on cholera transmission. Numerical simulations and sensitivity analysis are used to verify the theoretical results. The study suggests that effective drug treatment and pathogen removal from contaminated water are beneficial in controlling the spread of cholera.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
Paola Loreti, Daniela Sforza
Summary: This paper studies the vibrations of viscoelastic materials and establishes reachability results by representing their behavior through mechanical models composed of springs and dashpots.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
Kengo Matsumoto
Summary: We introduce the concept of K-theoretic duality for extensions of separable unital nuclear C*-algebras, using the K-homology long exact sequence and cyclic six term exact sequence for K-theory groups of extensions. We then prove that the Toeplitz extension tau A of a Cuntz-Krieger algebra OA is the K-theoretic dual of the Toeplitz extension tau At of the Cuntz-Krieger algebra OAt for the transposed matrix At of A. As an application, we show that if the Toeplitz algebras TAt and TBt of the transposed matrices are isomorphic, then the Toeplitz algebras TA and TB themselves are isomorphic as C*-algebras.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
Yan Cui, Xiaoyu Fu, Jiaxin Tian
Summary: In this paper, a fundamental inequality for a fourth order partial differential operator is established, and using this inequality, some Carleman estimates for the operator with suitable boundary conditions are proved. As an application, a resolvent estimate for the operator is obtained, which implies a log-type stabilization result for the plate equation.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
Elena Braverman, Alexander Domoshnitsky, John Ioannis Stavroulakis
Summary: In this paper, we investigate the distance between zeros and local extrema of solutions for the second order delay differential equation. We obtain new comparison results and calculate upper bounds on the semicycle length to guarantee the boundedness or convergence to zero of oscillatory solutions. We also analyze the classification of solutions in the case of p(t) <= 0, t is an element of R.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
Zsigmond Tarcsay, Abel Gode
Summary: The purpose of this article is to explore the order properties of positive operators, and introduce a natural generalization of the Busch-Gudder strength function in the context of locally convex spaces. We also prove Kadison's anti-lattice theorem and Ando's result on the infimum of positive operators.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
Qian-Qian Zhou, Han Zhao, Ze-Chun Hu, Renming Song
Summary: This paper presents some related inequalities for the Gaussian product inequality when both positive and negative numbers are included.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
Tjasa Vrhovnik
Summary: We prove the existence of a continuous map on a bordered Riemann surface which is holomorphic at some points, has effective poles at other points, and is a topological embedding on the boundary.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
A. Linero Bas, V. Manosa, D. Nieves Roldan
Summary: In this paper, we analyze the dynamics of a fourth-order difference equation and determine the accumulation point sets of its non-periodic solutions, which are proper compact intervals on the real line. This study complements the existing knowledge of the dynamics of the difference equation.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
Cristiano S. Silva, Juliana F. R. Miranda, Marcio C. Araujo Filho
Summary: In this paper, universal inequalities of eigenvalues for a large class of second-order elliptic operators are computed. The paper also proves some inequalities for manifolds supporting special functions and tensors.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
Alexander Cerjan, Terry A. Loring
Summary: The Clifford spectrum is a useful tool for noncommuting matrices and has been applied in various fields. This article explores its applications in photonics, condensed matter, and string theory, and discusses numerical approximations and higher-dimensional examples. It also presents a constructive method for generating almost commuting matrices with K-theoretical obstructions.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
Linlin Zhu, Guanghui Hu
Summary: This paper examines the diffraction problem of an impenetrable grating in two dimensions and derives a stability estimate with explicit dependence of the solutions. The variational method and transparent boundary condition are used, relying heavily on Rellich's identities in periodic structures.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
Louis Breton, Cristhian Montoya, Pedro Gonzalez Casanova, Jesus Lopez Estrada
Summary: This paper presents a numerical study on the inverse problem of identifying an obstruction in a 2D duct, which provides a new approach to solve the life-threatening disease of stenosis in coronary vessels in the medical field.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
Yexing Chen, Yongluo Cao, Yuntao Zang
Summary: In this paper, we prove the Katok's entropy formula of unstable metric entropy for random dynamical systems generated by compositions of one-sided independent and identically distributed random C2 diffeomorphisms.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
